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Finding the Third Proportional to 8,303 and 12,486.50

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Solution

The third proportional to 8,303 and 12,486.50 is: 18,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303 : 12,486.50 = 12,486.50 : x
  2. Step 2: Convert to fraction form
    8,303/12,486.50 = 12,486.50/x
  3. Step 3: Cross multiply
    8,303x = 12,486.50 × 12,486.50
  4. Step 4: Simplify right side
    8,303x = 155,912,682.25
  5. Step 5: Solve for x
    x = 155,912,682.25/8,303
  6. Step 6: Final answer
    x = 18,777.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.